3z-4(z+3)=-14

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Solution for 3z-4(z+3)=-14 equation:


Simplifying
3z + -4(z + 3) = -14

Reorder the terms:
3z + -4(3 + z) = -14
3z + (3 * -4 + z * -4) = -14
3z + (-12 + -4z) = -14

Reorder the terms:
-12 + 3z + -4z = -14

Combine like terms: 3z + -4z = -1z
-12 + -1z = -14

Solving
-12 + -1z = -14

Solving for variable 'z'.

Move all terms containing z to the left, all other terms to the right.

Add '12' to each side of the equation.
-12 + 12 + -1z = -14 + 12

Combine like terms: -12 + 12 = 0
0 + -1z = -14 + 12
-1z = -14 + 12

Combine like terms: -14 + 12 = -2
-1z = -2

Divide each side by '-1'.
z = 2

Simplifying
z = 2

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